Energy fluctuations of a finite free-electron Fermi gas

Research output: Contribution to journalArticle


  • J.P. Pekola

  • Paolo Muratore-Ginanneschi
  • Antti Kupiainen
  • Yuri M. Galperin

Research units

  • University of Helsinki
  • Ioffe Institute


We discuss the energy distribution of free-electron Fermi-gas, a problem with a textbook solution of Gaussian energy fluctuations in the limit of a large system. We find that for a small system, characterized solely by its heat capacity C, the distribution can be solved analytically, and it is both skewed and it vanishes at low energies, exhibiting a sharp drop to zero at the energy corresponding to the filled Fermi sea. The results are relevant from the experimental point of view, since the predicted non-Gaussian effects become pronounced when C/kB 103 (kB is the Boltzmann constant), a regime that can be easily achieved for instance in mesoscopic metallic conductors at sub-kelvin temperatures.


Original languageEnglish
Article number022123
Pages (from-to)1-4
JournalPhysical Review E
Issue number2
Publication statusPublished - 18 Aug 2016
MoE publication typeA1 Journal article-refereed

Download statistics

No data available

ID: 7206331